# What is the slope of the line passing through the following points:  (-2, -4) ; (5, -2)?

Mar 17, 2018

$m = \frac{2}{7}$

#### Explanation:

Let $\left(- 2 , - 4\right)$ be $\left({x}_{1} , {y}_{1}\right)$ and $\left(5 , - 2\right)$ be $\left({x}_{2} , {y}_{2}\right)$.
Now, to find the slope we use this simple formula,
$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$
Substituting the values, we get,
$m = \frac{- 2 - \left(- 4\right)}{5 - \left(- 2\right)}$
$m = \frac{2}{7}$

Hope this helps :)